Model-based analysis to improve the performance of iterative simulations. (English) Zbl 1002.62023

Summary: Inference using simulation has become a dominant theme in modern statistics, whether using the bootstrap to simulate sampling distributions of statistics, Markov chain Monte Carlo to simulate posterior distributions of parameters, or multiple imputation to simulate the posterior predictive distribution of missing values. Inference via simulations can, in some cases, be greatly facilitated by accompanying methods of analysis based on more traditional mathematical statistical techniques.
Here we illustrate this point using one example of such technology: the analysis, based on a Markov-normal model of the stationary distribution underlying an iterative simulation, of parallel simulations before their convergence, thereby allowing a redesign of the simulation for better performance. The potential value of this approach is documented using an example involving censored data.


62F10 Point estimation
65C60 Computational problems in statistics (MSC2010)
65C40 Numerical analysis or methods applied to Markov chains